Use the properties of operation and rolls from multiplying and dividing to solve -3/5×5/16×7/12÷-3/16×-5/7
To solve the expression: -3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7, we can follow these steps:
1. Simplify each fraction individually:
-3/5 = -9/15
5/16 (already simplified)
7/12 = 7/12
-3/16 (already simplified)
-5/7 (already simplified)
2. Multiply the numerators and denominators together, both horizontally and vertically:
Numerators: -9 × 5 × 7 × -5 = 1575
Denominators: 15 × 16 × 12 × 16 = 46080
3. Simplify if possible:
1575/46080
So, the simplified expression is 1575/46080.
To solve the expression -3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7 step-by-step, follow these steps:
Step 1: Simplify the expression by canceling out common factors in the numerators and denominators.
-3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7
= (-3 × 7) / (5 × 12) ÷ (-3/16 × -5/7)
Step 2: Multiply the numerators together and the denominators together.
= -21 / 60 ÷ (-3/16 × -5/7)
Step 3: Simplify the fractions and division.
= -21 / 60 ÷ (15/112)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
= -21 / 60 × (112/15)
Step 4: Multiply the numerators together and the denominators together.
= (-21 × 112) / (60 × 15)
Step 5: Simplify the numerator and denominator.
= -2352 / 900
The final simplified expression is -2352/900.
To solve -3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7, we can follow these steps:
Step 1: Simplify each fraction.
-3/5 can be simplified, and it becomes -3/5.
5/16 is already in its simplest form.
7/12 can also be simplified, and it becomes 7/12.
-3/16 is already in its simplest form.
-5/7 is already in its simplest form.
Step 2: Multiply the numerators and the denominators.
(-3) × (5) × (7) × (5) × (-5) = -525
(5) × (16) × (12) × (16) × (7) = 150720
Step 3: Divide the product of the numerators by the product of the denominators.
-525 ÷ 150720 = -175/50240
So, -3/5 × 5/16 × 7/12 ÷ -3/16 × -5/7 is equal to -175/50240.